isOdd w
A permutation $p$ is odd if it can be written as a product of an odd number of transpositions. Equivalently, a permutation is odd if its sign is $-1$.
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The object isOdd is a method function.
The source of this document is in /build/reproducible-path/macaulay2-1.25.06+ds/M2/Macaulay2/packages/Permutations/Documentation/mainDocs.m2:446:0.